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an optimal solution. Again, we will describe two methods for doing this. The first one is called the stepping-stone method; and the second, the u-v method. The Stepping-Stone Method. Again, we will use the previous example to illustrate the method. The transportation tableau associated with the basic feasible solution
ABSTRACT : Transportation type problems have certain features which makes it possible to device special computational techniques which are extremely simple to understand and apply. The illustrate example to be presented in this paper will be employed to explain the “stepping. Stone" method for solving these kind of
THE STEPPING STONE METHOD OF EXPLAINING. LINEAR PROGRAMMING CALCULATIONS IN. TRANSPORTATION PROBLEMS*. A. CHARNES AND W. W. COOPER. Carnegie Institute of Technology. I. Introduction. Recent scienti?c research has made available a variety of tools which can be brought to bear on
able, in which most famous algorithm is Hungarian Method. In this ar- ticle we proposed hybrid method to solve Assignment Problem which is combination of One's Assignment Method and Stepping Stone Method. This gives optimal solution within few steps. Mathematics Subject Classification: 90-08, 90B06, 90C05, 90C90.
The Stepping Stone and the Modified Distribution Method (MODI). Stepping Stone: Procedure for finding optimal transportation tableau. Given the s = 3 supply and d = 3 demands tableau below, first create feasible tableau by using the Northwest, VAM, Minimum cell, or Russell method. In an s x d tableau, the number of
use the Stepping Stone method to find an optimal solution of a transportation problem. • formulate special linear programming problems using the assignment model. • solve assignment problems with the Hungarian method. 4.2 Introduction. In this unit we extend the theory of linear programming to two special linear
17 Nov 2015 Full-text (PDF) | During this time, the method of solving transportation problem was conducted by Northwest-Corner (NWC), Least-Cost (LC), and Vogel' Approximation (VAM). To achive optimum value, there are several methods, the stepping-stone method, assignment method, and MODI (Modified for Distri
The modified distribution method, also known as MODI method or (u - v) method provides a minimum cost solution to the transportation problem. In the stepping stone method, we have to draw as many closed paths as equal to the unoccupied cells for their evaluation. To the contrary, in MODI method, only closed path for
The two methods for solving a transportation model are the stepping-stone method and the modified distribution method (also known as MODI). In applying the simplex method, an initial solution had to be established in the initial simplex tableau. This same condition must be met in solving a transportation model.
This paper atends the standard stepping-stone method to the case of capacitated hanspor- tation problems. The purpose is to offer an alternative to network-oriented or simplex-based methods (such as the out-of-kilter and upper-bounding techniques) often used in handling the capacitated transportation problem but

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March 2018